39 lines
4.2 KiB
Markdown
39 lines
4.2 KiB
Markdown
---
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title: "Block design"
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chunk: 6/6
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source: "https://en.wikipedia.org/wiki/Block_design"
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category: "reference"
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tags: "science, encyclopedia"
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date_saved: "2026-05-05T09:49:03.148970+00:00"
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instance: "kb-cron"
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---
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== References ==
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Aschbacher, Michael (1971). "On collineation groups of symmetric block designs". Journal of Combinatorial Theory. Series A. 11 (3): 272–281. doi:10.1016/0097-3165(71)90054-9.
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Assmus, E.F.; Key, J.D. (1992), Designs and Their Codes, Cambridge: Cambridge University Press, ISBN 0-521-41361-3
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Beth, Thomas; Jungnickel, Dieter; Lenz, Hanfried (1986), Design Theory, Cambridge University Press. 2nd ed. (1999) ISBN 978-0-521-44432-3.
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Bose, R. C. (1949), "A Note on Fisher's Inequality for Balanced Incomplete Block Designs", Annals of Mathematical Statistics, 20 (4): 619–620, doi:10.1214/aoms/1177729958
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Bose, R. C.; Shimamoto, T. (1952), "Classification and analysis of partially balanced incomplete block designs with two associate classes", Journal of the American Statistical Association, 47 (258): 151–184, doi:10.1080/01621459.1952.10501161
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Cameron, P. J.; van Lint, J. H. (1991), Designs, Graphs, Codes and their Links, Cambridge University Press, ISBN 0-521-42385-6
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Colbourn, Charles J.; Dinitz, Jeffrey H. (2007), Handbook of Combinatorial Designs (2nd ed.), Boca Raton: Chapman & Hall/ CRC, ISBN 978-1-58488-506-1
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Fisher, R.A. (1940), "An examination of the different possible solutions of a problem in incomplete blocks", Annals of Eugenics, 10: 52–75, doi:10.1111/j.1469-1809.1940.tb02237.x, hdl:2440/15239
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Hall, Marshall Jr. (1986), Combinatorial Theory (2nd ed.), New York: Wiley-Interscience, ISBN 0-471-09138-3
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Hughes, D.R.; Piper, E.C. (1985), Design theory, Cambridge: Cambridge University Press, ISBN 0-521-25754-9
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Kaski, Petteri; Östergård, Patric (2008). "There Are Exactly Five Biplanes with k = 11". Journal of Combinatorial Designs. 16 (2): 117–127. doi:10.1002/jcd.20145. MR 2384014. S2CID 120721016.
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Lander, E. S. (1983), Symmetric Designs: An Algebraic Approach, Cambridge University Press, ISBN 978-0-521-28693-0
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Lindner, C.C.; Rodger, C.A. (1997), Design Theory, Boca Raton: CRC Press, ISBN 0-8493-3986-3
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Raghavarao, Damaraju (1988). Constructions and Combinatorial Problems in Design of Experiments. Dover. ISBN 978-0-486-65685-4.
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Raghavarao, Damaraju; Padgett, L.V. (11 October 2005). Block Designs: Analysis, Combinatorics and Applications. World Scientific. ISBN 978-981-4480-23-9.
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Ryser, Herbert John (1963), "8. Combinatorial Designs", Combinatorial Mathematics, Carus Mathematical Monographs, vol. 14, Mathematical Association of America, pp. 96–130, ISBN 978-1-61444-014-7 {{citation}}: ISBN / Date incompatibility (help)
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Salwach, Chester J.; Mezzaroba, Joseph A. (1978). "The four biplanes with k = 9". Journal of Combinatorial Theory. Series A. 24 (2): 141–145. doi:10.1016/0097-3165(78)90002-X.
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Khattree, Ravindra (2019). "A note on the nonexistence of the constant block-sum balanced incomplete block designs". Communications in Statistics - Theory and Methods. 48 (20): 5165–5168. doi:10.1080/03610926.2018.1508715. S2CID 125795689.
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Khattree, Ravindra (2022). "On construction of equireplicated constant block-sum designs". Communications in Statistics - Theory and Methods. 51 (2): 4434–4450. doi:10.1080/03610926.2020.1814816. S2CID 225335042.
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Shrikhande, S.S.; Bhat-Nayak, Vasanti N. (1970), "Non-isomorphic solutions of some balanced incomplete block designs I", Journal of Combinatorial Theory, 9 (2): 174–191, doi:10.1016/S0021-9800(70)80024-2
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Stinson, Douglas R. (2003), Combinatorial Designs: Constructions and Analysis, Springer, ISBN 0-387-95487-2
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Street, Anne Penfold & Street, Deborah J. (1987). Combinatorics of Experimental Design. Oxford U. P. [Clarendon]. ISBN 0-19-853256-3.
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van Lint, J.H.; Wilson, R.M. (1992). A Course in Combinatorics. Cambridge University Press. ISBN 978-0-521-41057-1.
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== External links ==
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DesignTheory.Org: Databases of combinatorial, statistical, and experimental block designs. Software and other resources hosted by the School of Mathematical Sciences at Queen Mary College, University of London.
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Design Theory Resources: Peter Cameron's page of web based design theory resources.
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Weisstein, Eric W. "Block Designs". MathWorld. |